50. For f(x)=Inx+x?, sketch the graph of f(x) and show any relative minima, relative maxima, and...
.Find the relative maxima and relative minima, and sketch the graph with a graphing calculator to check your results. (If an answer does not exist, enter DNE.) y = x ln(x) relative maximum (x, y) = relative minimum (x, y=
Could important points such as increasing/decreasing intervals, Maxima/Minima, Concavity and inflection points be included with the working. 2. Draw the graph of f(x) = x ln([2]) - (x – 4) ln(|x – 4).
Locate all relative minima, relative maxima, and saddle points, if any. f (x, y) = e-(x2+y2+16x) f at the point ( Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f (x, y) = xy; 50x² + 2y2 = 400 Enter your answers for the points in order of increasing x-value. Maximum: at / 1) and ( Minimum: at ( and (
1.) Determine the local maxima, local minima and inflection points, if any, of the function f(x) = 3 cube root of square root of√x^3 − x^2 − x + 1. Think about the function like this may ease the calculation and help you identify the critical points.(x − 1)^2/3 (x + 1)^1/3(^means to the power) Show steps to solution!!
Please work out step-by-step* Use the second derivative test to find the relative maxima and minima of the given tunction. 11) f(x) = x4-3227 Find all vertical and horizontal asymptotes of the graph of the given function. 6x-9 12) f(x) T+ 2 Diagrams indicating intervals of increase or decrease and concavity are given. Identify a possible graph for a function with these characteristies. 13) Sign of f (x) +++++ Sign off "(x) ++ + ++t + ++ 0 brmhtiscom dEca0...
3. Find all local maxima, local minima and saddle points of the graph of f(x, y) 2x4-x2 + 3y2.
4. For this question, define f(x) = (x - 1)e-(0-1). (a) Find f'(x) and f"(x). (b) Find where S is increasing and where / is decreasing (e) Find where S is concave up and where / is concave down. (a) Find all critical points of . For each point you find, explain whether it is a (relative) maximum, a (relative) minimum or neither. (e) Find all points of inflection of f. For each point you find, explain why it is...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
Identify the location and value of any relative maxima or minima of the function. Ignore points on the boundar there is more than one answer, separate them with the "and" button. The function has no relative minimum. The function has one relative minimum. The function has two relative minima. A relative minimum occurs at the point(s) (-3,0) and (3,0).